71789904 has 90 divisors (see below), whose sum is σ = 212196426. Its totient is φ = 22654080.

The previous prime is 71789899. The next prime is 71789909. The reversal of 71789904 is 40998717.

It is an interprime number because it is at equal distance from previous prime (71789899) and next prime (71789909).

It can be written as a sum of positive squares in only one way, i.e., 60093504 + 11696400 = 7752^2 + 3420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71789904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71789909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51294 + ... + 52674.

Almost surely, 2^71789904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71789904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106098213).

71789904 is an abundant number, since it is smaller than the sum of its proper divisors (140406522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71789904 is a wasteful number, since it uses less digits than its factorization.

71789904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 71789904 is about 8472.8923042843. The cubic root of 71789904 is about 415.6117247461.

The spelling of 71789904 in words is "seventy-one million, seven hundred eighty-nine thousand, nine hundred four".